Answer:60 inches
Step-by-step explanation: 14+14+16+16=60
The dimensions of this figure are changed so that the new surface area is exactly 1/4 what it was originally.
Step-by-step explanation:
I assume the changes to the dimensions were made by using the same factor for each dimension, right ?
so, what do we need to do or calculate ? what is the desired result ?
the surface areas ? the new dimensions ? the volume ?
or only the factor of how much the dimensions changed, when the surface area was changed to 1/4 ?
????
I assume the last one, because there is so little information about what to do.
the surface area is calculated based on the areas of the various rectangles in the surface of the object.
each rectangle area is the result of multiplying 2 dimensions.
as the whole surface area shrinks by the factor 1/4, it means that every rectangle on the surface also shrinks by the factor 1/4.
and this factor 1/4 is the result of multiplying 2 dimensions. each dimension was changed by multiplying it with the same factor as every other dimension.
so, factor×factor = 1/4
factor² = 1/4
factor = sqrt(1/4) = 1/2
so, yes, in order to shrink the surface area to 1/4 of the original size, all the dimensions need to be cut in half (multiplied by 1/2).
Ms. Donaldson earns $20.00 per hour for the first 40 hours she works in a week. She earns 1 and 1/2 times that amount per hour for each hour beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5 hours. How much money did she earn?
Answer:
Mrs. Donaldson earned 907.20 dollars.
Step-by-step explanation:
907.20
An article is marked to sell at Rs.1300;if 10% discount is allowed,find the discount amount and selling price.
Answer:
discount amount=Rs. 130
selling price=Rs. 1170
Step-by-step explanation:
discount amount=10%of Rs.1300
=10/100*1300
=1300/10
=Rs. 130
selling price=MRP-discount amount
=1300-130
=Rs. 1170
Which of the following is a solution of the equation 9 - 2x = -1?
1) -4
2) 5
3) 4
4) -5
Answer:
Answer should be 5
Step-by-step explanation:
Which of the x values are solutions to the inequality 4(2-x)>-2x-3(4x+1)? Check all that apply.
X=-1.1
X=-2.2
X=0
X=-10
X=10
Answer:
[tex]x =0[/tex] and [tex]x=10[/tex]
Step-by-step explanation:
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
3x−y=22y=x−14
Enter your answer in the box.
y =
Answer:
y= 2.1
Step-by-step explanation:
I use a Graphing Calculator called Desmos. I suggest you try it.
La relación entre la temperatura del aire T (en º F) y la altitud h (en metros sobre el nivel del mar) es lineal para los primeros 20.000m. Si la temperatura a nivel del mar es de 60º F y por cada 5.000 m de altitud que se sube, la temperatura del aire baja 18º F. La temperatura del aire a una altitud de 15000 m es
Answer:
La temperatura del aire a una altitud de 15000 metros sobre el nivel del mar es -66 ºF.
Step-by-step explanation:
Dada la relación de linealidad, construimos una función lineal de la temperatura del aire en función de la altitud con respecto al nivel del mar, la cual es:
[tex]T(h) = T_{L} + \frac{T_{H}-T_{L}}{h_{H}-h_{L}} \cdot h[/tex], [tex]0\,m \leq h \leq 20000\,m[/tex] (Eq. 1)
Donde:
[tex]T_{L}[/tex] - Temperatura del aire a nivel del mar, medida en grados Fahrenheit.
[tex]T_{H}[/tex] - Temperatura del aire a determinada altitud, medida en grados Fahrenheit.
[tex]h_{L}[/tex] - Altura del nivel del mar, medida en metros.
[tex]h_{H}[/tex] - Altura determinada, medida en metros.
[tex]h[/tex] - Altitud con respecto al nivel del mar, medida en metros.
[tex]T(h)[/tex] - Temperatura del aire a una altitud con respecto al nivel del mar, medida en grados Fahrenheit.
Si sabemos que [tex]T_{L} = 60\,^{\circ}F[/tex], [tex]T_{H} = 18\,^{\circ}F[/tex], [tex]h_{L} = 0\,m[/tex], [tex]h_{H} = 5000\,m[/tex] y [tex]h = 15000\,m[/tex], la temperatura del aire a esa altitud es:
[tex]T(15000\,m) = 60\,^{\circ}F + \frac{18\,^{\circ}F-60\,^{\circ}F}{5000\,m-0\,m} \times 15000\,m[/tex]
[tex]T(15000\,m) = -66\,^{\circ}F[/tex]
La temperatura del aire a una altitud de 15000 metros sobre el nivel del mar es -66 ºF.
Price is $20.00 Sales Tax is 4% What is the total cost?
Answer:
0.8
Step-by-step explanation:
first i did 4% of 20 and got 0.8
Answer .60
Step-by-step explanation:
this is the graph of y = -x²- 4x - 7 what is the range of this function
Answer:
the range for this function would be (−∞,−3],{y|y≤−3}
W-2=-3
3
Ow=-
2
Ow=-5
Ow=-1
Ow=6
Answer:
Can I get equation for this too?
Step-by-step explanation:
Clare’s aunt used a credit card to pay $42 for an outfit. Six weeks later, the credit card company charged her 2% interest.
a. How much is the 2% interest?
b. How much will Clare’s aunt have to pay in total?
Answer:
0.84$ and 42.82$
Step-by-step explanation:
2% is equivalent to 2/100
So, 42$ x [tex]\frac{2}{100}[/tex] = 84/100 = 0.84$ (the 2% interest)
And the total the aunt has to pay equals to = 42$ + 0.84$ =42.84$
eric has a department store coupon worth $15 off the purchase of any men's shoes. at the same time men's shoes are offered with a discount of 1/5 off the original price, but no further discounts may be applied. for what price of shoes does eric pay the same amount for each discount?
Answer:
answer c part
Step-by-step explanation:
please make me brainlist
how to solve and answer
Answer:
if they tell you to find for example (x,y) it simply means that the straight line ------- is X while the |||||| is y so an example would be -5,-3 X come first so...
Step-by-step explanation:
the answer is (-5,-3)
Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?
PLEASE HELP!!!
Answer:
The answer is C.
Step-by-step explanation:
Because rational numbers are part of the irrationals.
There are two major subsets of Real numbers which are rational numbers and irrational numbers
The correct option for the Venn diagram that correctly represents the relationship between rational numbers and irrational numbers is option A because;
A. Rational numbers and irrational numbers have no numbers in common
The reason the above selection is correct is as follows:
Rational numbers are denoted by the capital letter Q, and they can be represented by the ratio of two integers, a, and b, as follows;
[tex]Q = \mathbf{\dfrac{a}{b}}[/tex]
Where;
a, and b, are whole number integers
Rational numbers are one of the two major subsets of real numbers, R
Example of rational numbers are [tex]\dfrac{1}{2}[/tex], 0.85, and [tex]\dfrac{4}{1}[/tex] = 4
Therefore, integers are rational numbers
Irrational numbers: Irrational numbers are real numbers that are not rational numbers, and they are represented by the capital letter, I, they cannot be represented as the ratio of two integers a, and b
Example of irrational numbers are π, √2, and √3
Rational numbers and irrational numbers are different subsets of Real numbers and they have no element in common, therefore, the correct option is option A
Learn more about rational numbers here:
https://brainly.com/question/12606259
 11 more than twice a number
use the variable N to represent that
Answer:
2n + 11
Step-by-step explanation:
You have twice an unknown number n, and you're going to want to have 11 more than that. So you will have 2 x n + 11 or 2n + 11.
what is the domain and range of the function?
f(x) = (x – 3)
Answer:
Domain: (-infinite sign, infinity sign)
Range: (-infinite sign, infinity sign)
OR you can write it as {x|x ∊ R}
the R is real numbers
Rachel, John, and Manuel have a total of $73 in their wallets. John has 3 times what Manuel has. Rachel has $7 less than Manuel. How much does each have?
ATQ
[tex]\\ \sf\longrightarrow x+3x+x-7=73[/tex]
[tex]\\ \sf\longrightarrow 5x-7=73[/tex]
[tex]\\ \sf\longrightarrow 5x=80[/tex]
[tex]\\ \sf\longrightarrow x=16[/tex]
Manuel=16$Rachel=9$John=48$find mistake I will give brainlist
Me ayudan pleas
59
53
5°
a =
what is 150% of 48???
Answer:
What is 150 percent of 48? = 72
Step-by-step explanation:
= 150 percent *48
= ( 150/100)*48
= ( 150*48)/100
= 7200/100
= 72
An expression is shown below.
Place a check next to each equivalent expression.
Answer:
a,d,e
Step-by-step explanation:
What equation is equivalent to x2 + 20x + 81 = -27? Can you show me how you got the answer please
The equivalent equation is x² + 20x = -102
Simplification of quadratic equationThe equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;
x² + 20x + 81 = -21
collect similar terms together
x² + 20x + 81 + 21 = 0
x² + 20x + 102 = 0
The equation can also be written as x² + 20x = -102
Thus, the equivalent equation is x² + 20x = -102
Learn more about simplification of quadratic equation here: https://brainly.com/question/1214333
Kendra bought 10 gallons of gasoline at $3.26 per gallon.
How much did she pay for the gasoline?
Answer:
Kendra paid $32.60 for gas.
Step-by-step explanation:
If the price of one gallon of gas is $3.26, then we should multiply that price by 10 gallons:
[tex]10(3.26)=32.6[/tex]
In context, that is a total of $32.60.
Answer: $32.60
Step-by-step explanation:
Price per gallon: $3.26
amount of gas: 10 gallons
3.26 dollars times 10 gallons = $32.60 total
The mean number of boxes of cookies sold by
each girl scout in Emma's troop was 28 with a
standard deviation of 8. If Emma's z-score
was -1. 5, how many boxes of cookies did she
sell?
Answer:
149
Step-by-step explanation:
wow
How do you write 35.4 in scientific notation?
Answer:
3.54x10^1
Step-by-step explanation:
Abdeza bought four Indian tacos. Her sister bought five more. How many people could they feed with everyone got 12 of an Indian taco?
Answer: None you have 9 tacos or 0.7 you could say
Step-by-step explanation:
You spend 5/2 hours practicing the piano each day for 3 days. Your friend spends hours practicing the piano each day for 4/3 days. Who spends more time practicing the piano?
Answer:
pp
Step-by-step explanation:
Answer:
you spend more time
Step-by-step explanation:
4/3 is 1 1/3 or 1.33 repeated
5/2 is 2 1/2 or 2.5
Give the coordinates of each vertex (D, E, F) and explain how you found the coordinates using transformation rules.
Step-by-step explanation:
We have that the vertices of triangle ABC are:
A(4, 2)
B(7, 9)
C(7, 2)
First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:
A'(-4, 2)
B'(-7, 9)
C'(-7, 2)
Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:
D(-4, -3)
E(-7, 4)
F(-7, -3)
The perimeter is 60 cm long how long is one side of the square
Answer:
15cm
Step-by-step explanation:
All you need to do for this is divide the perimeter (60) by the number of sides on a square (4). 60÷4=15
Answer:
[tex]15[/tex]
Step-by-step explanation:
Square perimeter is
[tex]P=4s[/tex]
Solving for [tex]s[/tex] we get
[tex]s=\frac{P}{4}[/tex]
So we have
[tex]s=\frac{60}{4}[/tex]
[tex]s=15[/tex].
Find the area; reduce to lowest terms: Length: 3 2/3 feet; Width: 1/4 feet
Answer:
11/12 square feet
Step-by-step explanation:
The area is the product of length and width. Multiplication of mixed numbers is often easily done by converting to improper fractions.
A = LW
A = (3 2/3 ft)(1/4 ft)
A = (11/3)(1/4) ft² = 11/12 ft²
The area is 11/12 square feet.